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Finding the Third Proportional to 280,043 and 425,907

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Solution

The third proportional to 280,043 and 425,907 is: 647,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,043 : 425,907 = 425,907 : x
  2. Step 2: Convert to fraction form
    280,043/425,907 = 425,907/x
  3. Step 3: Cross multiply
    280,043x = 425,907 × 425,907
  4. Step 4: Simplify right side
    280,043x = 181,396,772,649
  5. Step 5: Solve for x
    x = 181,396,772,649/280,043
  6. Step 6: Final answer
    x = 647,746.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.